Question 204055: How do you find the equation to a line parallel to 2x-5y=20?
Answer by RAY100(1637)   (Show Source):
You can put this solution on YOUR website! Remember that y=mx+b is slope intercept form, and parallel lines have same slope
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2x -5y =20
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-5y =20 -2x
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y=(2/5)x -4
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all parallel lines have same slope,,(2/5) just different y intercepts,,(-4)
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so a parallel line could be y=(2/5)x -3,,or y=(2/5)x -2,,or y=(2/5)x +4
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usually some other limit would apply to define the exact line.
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PLEASE NOTE
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y=(2/5)x-3 = (5y =2x -15) = (2x -5y = 15),,,which is the same as original
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except for the constant. Therefore, 2x-5y = #,,,is generalized answer
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